2011, BS, Kent State University, College of Arts and Sciences / Department of Mathematical Science.

Abstract

Society often divides the worlds of mathematics and the arts into two disjoint entities, refusing to accept that any overlap could exist between such different realms. Our goal is to explore the intersection of the scientific and the beautiful via a self-contained journey through the life and tessellating works of the artist M.C. Escher. We invite the reader to dive headfirst into the underlying structure of Escher's systematic creations, focusing specifically on Wallpaper Groups and Hyperbolic Constructions - the two concepts that are subtly present in many of Escher's famous works.